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svet-max [94.6K]

2 years ago

13

This building is one of the most identifiable structures in its city skylines. It has a square foundation and 28 floors. The bui

lding has four triangular exterior faces that meet at points at the top of the structure.
What is the Solid figure
what is the building
HELP 15 POINTS

1 answer:

Ivanshal [37]2 years ago

4 0

It's a rectangular prism

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Need help ace plsssz

Paladinen [302]

Answer:

150 multiply the 2 numbers

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Step-by-step explanation:

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2 years ago

What’s the answer thank you for your help

frez [133]

The formula for finding the sum of a finite geometric series is
$S_n = a_1( \frac{1-r^n}{1-r} )$

n = 17, $a_1 = 3$ , r = 2

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3 years ago

Evaluate the following definite integral

mihalych1998 [28]

Answer:

$\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}$

General Formulas and Concepts:

<u>Symbols</u>

e (Euler's number) ≈ 2.71828

<u>Algebra I</u>

Exponential Rule [Multiplying]: $\displaystyle b^m \cdot b^n = b^{m + n}$

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals
Definite Integrals
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

U-Substitution

U-Solve

Integration by Parts: $\displaystyle \int {u} \, dv = uv - \int {v} \, du$

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx$

<u>Step 2: Integrate Pt. 1</u>

[Integrand] Rewrite [Exponential Rule - Multiplying]: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \int\limits^1_0 {x^5e^{x^3}e} \, dx$
[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = e\int\limits^1_0 {x^5e^{x^3}} \, dx$

<u>Step 3: Integrate Pt. 2</u>

<em>Identify variables for u-solve.</em>

Set <em>u</em>: $\displaystyle u = x^3$
[<em>u</em>] Differentiate [Basic Power Rule]: $\displaystyle du = 3x^2 \ dx$
[<em>u</em>] Rewrite: $\displaystyle x = \sqrt[3]{u}$
[<em>du</em>] Rewrite: $\displaystyle dx = \frac{1}{3x^2} \ du$

<u>Step 4: Integrate Pt. 3</u>

[Integral] U-Solve: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = e\int\limits^1_0 {x^5e^{(\sqrt[3]{u})^3}\frac{1}{3x^2}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {x^5e^{(\sqrt[3]{u})^3}\frac{1}{x^2}} \, du$
[Integral] Simplify: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {x^3e^u} \, du$
[Integrand] U-Solve: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {ue^u} \, du$

<u>Step 5: integrate Pt. 4</u>

<em>Identify variables for integration by parts using LIPET.</em>

Set <em>u</em>: $\displaystyle u = u$
[<em>u</em>] Differentiate [Basic Power Rule]: $\displaystyle du = du$
Set <em>dv</em>: $\displaystyle dv = e^u \ du$
[<em>dv</em>] Exponential Integration: $\displaystyle v = e^u$

<u>Step 6: Integrate Pt. 5</u>

[Integral] Integration by Parts: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3} \bigg[ ue^u \bigg| \limits^1_0 - \int\limits^1_0 {e^u} \, du \bigg]$
[Integral] Exponential Integration: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3} \bigg[ ue^u \bigg| \limits^1_0 - e^u \bigg| \limits^1_0 \bigg]$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}[ e - e ]$
Simplify: $\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

8 0

2 years ago

Mari packs the same number of oranges in each bag. How many oranges does Mari need to pack 9 bags? How can you determine the num

GuDViN [60]

Answer:

Mari needs 27 and 39 oranges for 9 and 13 bags respectively.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below table it is clear the she need 9 oranges for 3 bags.

Number of oranges in each bag = 9/3 = 3 oranges

She packs 3 oranges in each bag.

For 9 bags, the number of oranges = 9×3 = 27 oranges.

For 13 bags, the number of oranges = 13×3 = 39 oranges.

Therefore, Mari needs 27 and 39 oranges for 9 and 13 bags respectively.

3 0

3 years ago

Prove that: <br>(1 + Tan²A) Cos²A = 1

Artyom0805 [142]

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1

6 0

2 years ago